Twistors of Almost Quaternionic Manifolds

Stefan Ivanov; Ivan Minchev; Simeon Zamkovoy

Twistors of Almost Quaternionic Manifolds

微分几何 2007-05-23 v1 高能物理 - 理论数学物理 math.MP

作者: Stefan Ivanov , Ivan Minchev , Simeon Zamkovoy

摘要

We investigate the integrability of almost complex structures on the twistor space of an almost quaternionic manifold constructed with the help of a quaternionic connection. We show that if there is an integrable structure it is independent on the quaternionic connection. In dimension four, we express the anti-self-duality condition in terms of the Riemannian Ricci forms with respect to the associated quaternionic structure.

关键词

almost contact manifolds smooth 4-manifolds riemannian geometry

引用

@article{arxiv.math/0511525,
  title  = {Twistors of Almost Quaternionic Manifolds},
  author = {Stefan Ivanov and Ivan Minchev and Simeon Zamkovoy},
  journal= {arXiv preprint arXiv:math/0511525},
  year   = {2007}
}

备注

LaTeX, 12 pages, no figures

Twistors of Almost Quaternionic Manifolds

摘要

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